Worksheets — Set 9

Trigonometry · Honors · Modeling periodic phenomena

Print and write your answers. Use diagrams to show thinking.

Warm-up

1. Linear model: slope 12, through (0, 15). Write f(x) = ___ 2. Exponential: f(0)=12, growth factor 2.5. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___

_See printable PDF for diagram._

Written practice

1. Linear model: slope 11, through (0, 14). Write f(x) = ___ 2. Exponential: f(0)=11, growth factor 2.4. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___ 4. Parameter meaning: in f(x)=19(0.8)ˣ, 0.8 represents ___ 5. Predict f(14) from your model: ___ 6. When does the model break down? Explain. ___ 7. Linear model: slope 14, through (0, 17). Write f(x) = ___ 8. Exponential: f(0)=14, growth factor 2.7. f(x)=___

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More written practice

1. Parameter meaning: in f(x)=22(0.8)ˣ, 0.8 represents ___ 2. Predict f(17) from your model: ___ 3. Linear model: slope 17, through (0, 20). Write f(x) = ___ 4. Exponential: f(0)=17, growth factor 3. f(x)=___ 5. Parameter meaning: in f(x)=25(0.8)ˣ, 0.8 represents ___ 6. Predict f(20) from your model: ___

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Patterns and rules

1. Linear model: slope 28, through (0, 31). Write f(x) = ___ 2. Exponential: f(0)=28, growth factor 4.1. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___

_See printable PDF for diagram._

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Parent tip: Look at differences or ratios in tables